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Let a and b be the roots of x^2 - 34x + 34 = 0.  What is (a + 1)(b + 1)?

 Jan 7, 2020
 #1
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+2

The roots of x^2 - 34x + 34 = 0      are  17 + sqrt 255     and    17 - sqrt 255

 

then   (a + 1)(b + 1)   =   (18 + sqrt255)(18-sqrt255)       Can you calculate the answer from here?

 Jan 7, 2020
 #2
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0

ab = 34,  a+b=34,

so,

(a + 1)(b + 1) = ab + a + b + 1 = 34+ 34 +1 = 69.

 Jan 7, 2020
 #3
avatar+22080 
+1

Great!  I got the same answer, but I like your method better !

ElectricPavlov  Jan 7, 2020

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